----- Original Message -----
> From: "mathmaniac" <molla1991 at gmail.com>
> To: mathgroup at smc.vnet.net
> Sent: Sunday, October 30, 2011 4:26:15 AM
> Subject: I cant get step by step solution @ this diferantial equation
>
> y'=2(y+2)^2/(x+y-1)^2
>
> Wolfram gives me the only right solution, i want to know how to
> Wolfram get that right solution ?
I would use Wolfram|Alpha for this (www.wolframalpha.com).
Enter:
y'[x]==2(y[x]+2)^2/(x+y[x]-1)^2
When a result appears, click the "show steps" button at upper right of result pane.
See
http://www.wolframalpha.com/input/?i=y%27%5Bx%5D%3D%3D2%28y%5Bx%5D%2B2%29%5E2%2F%28x%2By%5Bx%5D-1%29%5E2
You can also do this within Mathematica by using the Wolfram|Alpha input interface. Click on the + sign at upper left of an input cell, select Wolfram Alpha query, and give the same input I showed above.
Daniel Lichtblau
Wolfram Research